Symmetric task

Reading libraries and parameters

library(tidyverse)
library(quickpsy)
library(cowplot)
list.files("R", full.names = TRUE) %>% walk(source)
source("graphical_parameters.R")
source("parameters.R")
load(file = "logdata/dat2.RData")

No two guess

fun_sym_no_two_guess2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[5] + + (1 - p[5] - p[6]) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) p[7] + (1 - p[7] - p[8]) * pnorm(x, p[1] - p[2], p[4]))))
fit_sym_no_two_guess2 <- quickpsy(dat2, orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_no_two_guess2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, pini_scale, 
                              pini_lapse, pini_lapse, pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_no_two_guess2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_no_two_guess2$curves, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

Two guess

fun_sym_two_guess2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[5] + p[7] + (1 - 2 * p[5] - p[7]) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) p[6] + (1 - 2 * p[6] - p[7]) * pnorm(x, p[1] - p[2], p[4]))))
fit_sym_two_guess2 <- quickpsy(dat2, orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_two_guess2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, pini_scale, 
                              pini_lapse, pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_two_guess2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_two_guess2$curves, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

No two guess vs two guess

sym_no_two_guess_vs_two_guess2 <- model_selection_lrt(
  fit_sym_no_two_guess2$logliks, 
  fit_sym_two_guess2$logliks) 
sym_no_two_guess_vs_two_guess2 %>% 
  group_by(best) %>% 
  count()

best_sym_no_two_guess2 <- sym_no_two_guess_vs_two_guess2 %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)
best_sym_two_guess2 <- sym_no_two_guess_vs_two_guess2 %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block)

No two guess same slope

fun_sym_no_two_guess_same_slope2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[4] + + (1 - p[4] - p[5]) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) p[6] + (1 - p[6] - p[7]) * pnorm(x, p[1] - p[2], p[3]))))
fit_sym_no_two_guess_same_slope2 <- quickpsy(dat2, orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_no_two_guess_same_slope2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, 
                              pini_lapse, pini_lapse, pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_no_two_guess_same_slope2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_no_two_guess_same_slope2$curves, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

No two guess vs no two guess same slope

sym_no_two_guess_vs_no_two_guess_same_slope2 <- model_selection_lrt(
  fit_sym_no_two_guess2$logliks, 
  fit_sym_no_two_guess_same_slope2$logliks) 
sym_no_two_guess_vs_no_two_guess_same_slope2 %>%
  semi_join(best_sym_no_two_guess2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_no_two_guess_same_slope2 <- sym_no_two_guess_vs_no_two_guess_same_slope2 %>% 
  semi_join(best_sym_no_two_guess2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

Sym guess

fun_sym_guess2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[5] + (1 - 2 * p[5]) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) p[6] + (1 - 2 * p[6]) * pnorm(x, p[1] - p[2], p[4]))))
fit_sym_guess2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_guess2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, pini_scale, 
                              pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_guess2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_guess2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Sym guess vs no sym guess

sym_two_guess_vs_sym_guess2 <- model_selection_lrt(
  fit_sym_two_guess2$logliks, 
  fit_sym_guess2$logliks) 
sym_two_guess_vs_sym_guess2 %>%
  semi_join(best_sym_two_guess2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_guess2 <- best_sym_two_guess2

Sym same guess

fun_sym_same_guess2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[5] + (1 - 2 * p[5]) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) p[5] + (1 - 2 * p[5]) * pnorm(x, p[1] - p[2], p[4]))))
fit_sym_same_guess2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject,  references, cond_per_block),
                fun = fun_sym_same_guess2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Same guess vs no same slope

sym_same_guess_vs_no_same_guess2 <- model_selection_lrt(
  fit_sym_guess2$logliks, 
  fit_sym_same_guess2$logliks) 
sym_same_guess_vs_no_same_guess2 %>%
  semi_join(best_sym_guess2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_no_same_guess2 <- sym_same_guess_vs_no_same_guess2 %>% 
  semi_join(best_sym_guess2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

best_sym_same_guess2 <- sym_same_guess_vs_no_same_guess2 %>% 
  semi_join(best_sym_guess2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

No same guess same slope

fun_sym_guess_same_slope2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) p[5] + (1 - 2 * p[5]) * pnorm(x, p[1] - p[2], p[3]))))
fit_sym_guess_same_slope2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_guess_same_slope2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, 
                              pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_guess_same_slope2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_guess_same_slope2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

No same guess vs no same guess same slope

sym_same_guess_vs_same_guess_same_slope2 <- model_selection_lrt(
  fit_sym_guess2$logliks, 
  fit_sym_guess_same_slope2$logliks) 
sym_same_guess_vs_same_guess_same_slope2 %>%
  semi_join(best_sym_no_same_guess2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_no_same_guess_same_slope2 <- best_sym_no_same_guess2
  

Absent lapses

fun_sym_absent_lapses2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1] - p[2], p[4]))))
fit_sym_absent_lapses2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses vs no absent lapses

sym_absent_lapses_vs_no_absent_lapses2 <- model_selection_lrt(
  fit_sym_same_guess2$logliks, 
  fit_sym_absent_lapses2$logliks) 
sym_absent_lapses_vs_no_absent_lapses2 %>%
  semi_join(best_sym_same_guess2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_no_absent_lapses2 <- sym_absent_lapses_vs_no_absent_lapses2 %>% 
  semi_join(best_sym_same_guess2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

best_sym_absent_lapses2 <- sym_absent_lapses_vs_no_absent_lapses2 %>% 
  semi_join(best_sym_same_guess2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

Sym same guess same slope

fun_sym_same_guess_same_slope2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, p[1] - p[2], p[3]))))
fit_sym_same_guess_same_slope2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_same_guess_same_slope2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess_same_slope2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess_same_slope2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

No absent lapses vs no absent lapses same slope

sym_no_absent_lapses_vs_no_absent_lapses_same_slope2 <- model_selection_lrt(
  fit_sym_same_guess2$logliks, 
  fit_sym_same_guess_same_slope2$logliks) 
sym_no_absent_lapses_vs_no_absent_lapses_same_slope2 %>%
  semi_join(best_sym_no_absent_lapses2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_no_absent_lapses_no_same_slope2 <- sym_no_absent_lapses_vs_no_absent_lapses_same_slope2 %>% 
  semi_join(best_sym_no_absent_lapses2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_no_absent_lapses_same_slope2 <- sym_no_absent_lapses_vs_no_absent_lapses_same_slope2 %>% 
  semi_join(best_sym_no_absent_lapses2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

Absent lapses same slope

fun_sym_absent_lapses_same_slope2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1] + p[2], p[3]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1] - p[2], p[3]))))
fit_sym_absent_lapses_same_slope2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses_same_slope2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_origin, pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses_same_slope2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses_same_slope2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses vs absent lapses same slope

sym_absent_lapses_vs_absent_lapses_same_slope2 <- model_selection_lrt(
  fit_sym_absent_lapses2$logliks, 
  fit_sym_absent_lapses_same_slope2$logliks) 
sym_absent_lapses_vs_absent_lapses_same_slope2 %>%
  semi_join(best_sym_absent_lapses2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_absent_lapses_no_same_slope2 <- sym_absent_lapses_vs_absent_lapses_same_slope2 %>% 
  semi_join(best_sym_absent_lapses2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_absent_lapses_same_slope2 <- sym_absent_lapses_vs_absent_lapses_same_slope2 %>% 
  semi_join(best_sym_absent_lapses2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

Averages, curves and parameters (checking)

sym_averages_s_vs_d_test2 <- 
  (fit_sym_no_two_guess_same_slope2$averages %>% semi_join(best_sym_no_two_guess_same_slope2))

Joining, by = c("subject", "cond_per_block")

sym_curves_s_vs_d_test2 <- 
  (fit_sym_no_two_guess_same_slope2$curves %>% semi_join(best_sym_no_two_guess_same_slope2))

Joining, by = c("subject", "cond_per_block")

ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = sym_averages_s_vs_d_test2, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = sym_curves_s_vs_d_test2, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

sym_averages_s_vs_d_test2 <- 
  (fit_sym_guess_same_slope2$averages %>% semi_join(best_sym_no_same_guess2))

Joining, by = c("subject", "cond_per_block")

sym_curves_s_vs_d_test2 <- 
  (fit_sym_guess_same_slope2$curves %>% semi_join(best_sym_no_same_guess2))

Joining, by = c("subject", "cond_per_block")

ggplot() + facet_wrap(subject ~ cond_per_block) +
  geom_point(data = sym_averages_s_vs_d_test2, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = sym_curves_s_vs_d_test2, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

sym_averages_s_vs_d_test2 <- 
  (fit_sym_same_guess2$averages %>% semi_join(best_sym_no_absent_lapses_no_same_slope2))

Joining, by = c("subject", "cond_per_block")

sym_curves_s_vs_d_test2 <- 
  (fit_sym_same_guess2$curves %>% semi_join(best_sym_no_absent_lapses_no_same_slope2))

Joining, by = c("subject", "cond_per_block")

ggplot() + facet_wrap(subject ~ cond_per_block) +
  geom_point(data = sym_averages_s_vs_d_test2, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = sym_curves_s_vs_d_test2, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

sym_averages_s_vs_d_test2 <- 
  (fit_sym_same_guess_same_slope2$averages %>% semi_join(best_sym_no_absent_lapses_same_slope2))

Joining, by = c("subject", "cond_per_block")

sym_curves_s_vs_d_test2 <- 
  (fit_sym_same_guess_same_slope2$curves %>% semi_join(best_sym_no_absent_lapses_same_slope2))

Joining, by = c("subject", "cond_per_block")

ggplot() + facet_wrap(subject ~ cond_per_block) +
  geom_point(data = sym_averages_s_vs_d_test2, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = sym_curves_s_vs_d_test2, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

sym_averages_s_vs_d_test2 <- 
  (fit_sym_absent_lapses2$averages %>% semi_join(best_sym_absent_lapses_no_same_slope2))

Joining, by = c("subject", "cond_per_block")

sym_curves_s_vs_d_test2 <- 
  (fit_sym_absent_lapses2$curves %>% semi_join(best_sym_absent_lapses_no_same_slope2))

Joining, by = c("subject", "cond_per_block")

ggplot() + facet_wrap(subject ~ cond_per_block) +
  geom_point(data = sym_averages_s_vs_d_test2, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = sym_curves_s_vs_d_test2, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

sym_averages_s_vs_d_test2 <- 
  (fit_sym_absent_lapses_same_slope2$averages %>% semi_join(best_sym_absent_lapses_same_slope2))

Joining, by = c("subject", "cond_per_block")

sym_curves_s_vs_d_test2 <- 
  (fit_sym_absent_lapses_same_slope2$curves %>% semi_join(best_sym_absent_lapses_same_slope2))

Joining, by = c("subject", "cond_per_block")

ggplot() + facet_wrap(subject ~ cond_per_block) +
  geom_point(data = sym_averages_s_vs_d_test2, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = sym_curves_s_vs_d_test2, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

Averages, curves and parameters

sym_averages_s_vs_d2 <- 
  (fit_sym_no_two_guess_same_slope2$averages %>% semi_join(best_sym_no_two_guess_same_slope2)) %>% 
  bind_rows((fit_sym_guess_same_slope2$averages %>% semi_join(best_sym_no_same_guess2))) %>% 
  bind_rows((fit_sym_same_guess2$averages %>% semi_join(best_sym_no_absent_lapses_no_same_slope2))) %>% 
  bind_rows((fit_sym_same_guess_same_slope2$averages %>% semi_join(best_sym_no_absent_lapses_same_slope2))) %>% 
  bind_rows((fit_sym_absent_lapses2$averages %>% semi_join(best_sym_absent_lapses_no_same_slope2))) %>% 
  bind_rows((fit_sym_absent_lapses_same_slope2$averages %>% semi_join(best_sym_absent_lapses_same_slope2)))

Joining, by = c("subject", "cond_per_block")
Joining, by = c("subject", "cond_per_block")
Joining, by = c("subject", "cond_per_block")
Joining, by = c("subject", "cond_per_block")
Joining, by = c("subject", "cond_per_block")
Joining, by = c("subject", "cond_per_block")

sym_curves_s_vs_d2 <- 
  (fit_sym_no_two_guess_same_slope2$curves %>% semi_join(best_sym_no_two_guess_same_slope2)) %>% 
  bind_rows((fit_sym_guess_same_slope2$curves %>% semi_join(best_sym_no_same_guess2))) %>% 
  bind_rows((fit_sym_same_guess2$curves %>% semi_join(best_sym_no_absent_lapses_no_same_slope2))) %>% 
  bind_rows((fit_sym_same_guess_same_slope2$curves %>% semi_join(best_sym_no_absent_lapses_same_slope2))) %>% 
  bind_rows((fit_sym_absent_lapses2$curves %>% semi_join(best_sym_absent_lapses_no_same_slope2))) %>% 
  bind_rows((fit_sym_absent_lapses_same_slope2$curves %>% semi_join(best_sym_absent_lapses_same_slope2)))

Joining, by = c("subject", "cond_per_block")
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sym_par_s_vs_d2 <- 
  (fit_sym_no_two_guess_same_slope2$par %>% semi_join(best_sym_no_two_guess_same_slope2)) %>% 
  bind_rows((fit_sym_guess_same_slope2$par %>% semi_join(best_sym_no_same_guess2))) %>% 
  bind_rows((fit_sym_same_guess2$par %>% semi_join(best_sym_no_absent_lapses_no_same_slope2))) %>% 
  bind_rows((fit_sym_same_guess_same_slope2$par %>% semi_join(best_sym_no_absent_lapses_same_slope2))) %>% 
  bind_rows((fit_sym_absent_lapses2$par %>% semi_join(best_sym_absent_lapses_no_same_slope2))) %>% 
  bind_rows((fit_sym_absent_lapses_same_slope2$par %>% semi_join(best_sym_absent_lapses_same_slope2)))

Joining, by = c("subject", "cond_per_block")
Joining, by = c("subject", "cond_per_block")
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sym_par_s_vs_d_long2 <- sym_par_s_vs_d2 %>% 
  spread(parn, par) 
ggplot() + facet_wrap(subject ~ cond_per_block) +
  geom_point(data = sym_averages_s_vs_d2, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = sym_curves_s_vs_d2, 
            aes(x = x, y = y, color = references)) +
  geom_vline(data = sym_par_s_vs_d_long2,
           aes(xintercept = p1, lty = "p1")) +
    geom_vline(data = sym_par_s_vs_d_long2, 
           aes(xintercept = p1 + p2, lty = "p1 +p2")) +
  theme_grey() + theme(legend.position = "top") 

No two guess same slope zero

fun_sym_no_two_guess_same_slope_zero2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[2] + + (1 - p[2] - p[3]) * pnorm(x, 0, p[1]), 
    function(x, p) p[4] + (1 - p[4] - p[5]) * pnorm(x, 0, p[1]))))
fit_sym_no_two_guess_same_slope_zero2 <- quickpsy(dat2, orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_no_two_guess_same_slope_zero2,
                xmin = -3, xmax = 3,
                parini = list(pini_scale, 
                              pini_lapse, pini_lapse, pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_no_two_guess_same_slope_zero2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_no_two_guess_same_slope_zero2$curves, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

No two guess same slope zero vs no two guess same slope

sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_zero2 <- model_selection_lrt(
  fit_sym_no_two_guess_same_slope2$logliks, 
  fit_sym_no_two_guess_same_slope_zero2$logliks) 
sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_zero2 %>%
  semi_join(best_sym_no_two_guess_same_slope2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_no_two_guess_same_slope_no_zero2 <- sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_zero2 %>% 
  semi_join(best_sym_no_two_guess_same_slope2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_no_two_guess_same_slope_zero2 <- sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_zero2 %>% 
  semi_join(best_sym_no_two_guess_same_slope2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "zero")

Joining, by = c("subject", "cond_per_block")

No two guess same slope s

fun_sym_no_two_guess_same_slope_s2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[3] + + (1 - p[3] - p[4]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[5] + (1 - p[5] - p[6]) * pnorm(x, p[1], p[2]))))
fit_sym_no_two_guess_same_slope_s2 <- quickpsy(dat2, orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_no_two_guess_same_slope_s2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, 
                              pini_lapse, pini_lapse, pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_no_two_guess_same_slope_s2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_no_two_guess_same_slope_s2$curves, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

No two guess same slope vs no two guess same slope s

sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_s2 <- model_selection_lrt(
  fit_sym_no_two_guess_same_slope2$logliks, 
  fit_sym_no_two_guess_same_slope_s2$logliks) 
sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_s2 %>%
  semi_join(best_sym_no_two_guess_same_slope_no_zero2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

No two guess same slope d

fun_sym_no_two_guess_same_slope_d2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[3] + + (1 - p[3] - p[4]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[5] + (1 - p[5] - p[6]) * pnorm(x, -p[1], p[2]))))
fit_sym_no_two_guess_same_slope_d2 <- quickpsy(dat2, orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_no_two_guess_same_slope_d2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, 
                              pini_lapse, pini_lapse, pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_no_two_guess_same_slope_d2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_no_two_guess_same_slope_d2$curves, 
            aes(x = x, y = y, color = references)) +
  theme_grey() + theme(legend.position = "top") 

No two guess same slope vs no two guess same slope d

sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_d2 <- model_selection_lrt(
  fit_sym_no_two_guess_same_slope2$logliks, 
  fit_sym_no_two_guess_same_slope_d2$logliks) 
sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_d2 %>%
  semi_join(best_sym_no_two_guess_same_slope_no_zero2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_no_two_guess_same_slope_no_zero_full2 <- sym_no_two_guess_same_slope_vs_no_two_guess_same_slope_d2 %>% 
  semi_join(best_sym_no_two_guess_same_slope_no_zero2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "full")

Joining, by = c("subject", "cond_per_block")

No same guess same slope zero

fun_sym_guess_same_slope_zero2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[2] + (1 - 2 * p[2]) * pnorm(x, 0, p[1]), 
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, 0, p[1]))))
fit_sym_guess_same_slope_zero2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_guess_same_slope_zero2,
                xmin = -3, xmax = 3,
                parini = list(pini_scale, 
                              pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_guess_same_slope_zero2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_guess_same_slope_zero2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

No same guess same slope vs no same guess same slope zero

sym_guess_same_slope_vs_sym_guess_same_slope_zero2 <- model_selection_lrt(
  fit_sym_guess_same_slope2$logliks, 
  fit_sym_guess_same_slope_zero2$logliks) 
sym_guess_same_slope_vs_sym_guess_same_slope_zero2 %>%
  semi_join(best_sym_no_same_guess2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_guess_same_slope_no_zero2 <- sym_guess_same_slope_vs_sym_guess_same_slope_zero2 %>% 
  semi_join(best_sym_no_same_guess2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) 

Joining, by = c("subject", "cond_per_block")

No same guess same slope s

fun_sym_guess_same_slope_s2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, p[1], p[2]))))
fit_sym_guess_same_slope_s2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_guess_same_slope_s2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, 
                              pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_guess_same_slope_s2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_guess_same_slope_s2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

No same guess same slope no zero vs no same guess same slope no zero s

sym_guess_same_slope_no_zero_vs_guess_same_slope_no_zero_s2 <- model_selection_lrt(
  fit_sym_guess_same_slope2$logliks, 
  fit_sym_guess_same_slope_s2$logliks) 
sym_guess_same_slope_no_zero_vs_guess_same_slope_no_zero_s2 %>%
  semi_join(best_sym_guess_same_slope_no_zero2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_guess_same_slope_no_zero_no_s2 <- sym_guess_same_slope_no_zero_vs_guess_same_slope_no_zero_s2 %>% 
  semi_join(best_sym_guess_same_slope_no_zero2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) 

Joining, by = c("subject", "cond_per_block")

best_sym_guess_same_slope_no_zero_s2 <- sym_guess_same_slope_no_zero_vs_guess_same_slope_no_zero_s2 %>% 
  semi_join(best_sym_guess_same_slope_no_zero2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) 

Joining, by = c("subject", "cond_per_block")

No same guess same slope d

fun_sym_guess_same_slope_d2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, -p[1], p[2]))))
fit_sym_guess_same_slope_d2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_guess_same_slope_d2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, 
                              pini_lapse, pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_guess_same_slope_d2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_guess_same_slope_d2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

No same guess same slope no zero vs no same guess same slope no zero d

sym_guess_same_slope_no_zero_vs_guess_same_slope_no_zero_d2 <- model_selection_lrt(
  fit_sym_guess_same_slope2$logliks, 
  fit_sym_guess_same_slope_d2$logliks) 
sym_guess_same_slope_no_zero_vs_guess_same_slope_no_zero_d2 %>%
  semi_join(best_sym_guess_same_slope_no_zero2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_guess_same_slope_no_zero_full2 <- sym_guess_same_slope_no_zero_vs_guess_same_slope_no_zero_d2 %>% 
  semi_join(best_sym_guess_same_slope_no_zero2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "full")

Joining, by = c("subject", "cond_per_block")

Sym same guess no same slope zero

fun_sym_same_guess_zero2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, 0, p[1]), 
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, 0, p[2]))))
fit_sym_same_guess_zero2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_same_guess_zero2,
                xmin = -3, xmax = 3,
                parini = list(pini_scale, pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess_zero2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess_zero2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Same guess no same slope no zero vs Same guess no same slope zero

sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_zero2 <- model_selection_lrt(
  fit_sym_same_guess2$logliks, 
  fit_sym_same_guess_zero2$logliks) 
sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_zero2 %>%
  semi_join(best_sym_no_absent_lapses_no_same_slope2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_same_guess_no_same_slope_no_zero <- sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_zero2 %>% 
  semi_join(best_sym_no_absent_lapses_no_same_slope2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_same_guess_no_same_slope_zero2 <- sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_zero2 %>% 
  semi_join(best_sym_no_absent_lapses_no_same_slope2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "zero")

Joining, by = c("subject", "cond_per_block")

Sym same guess no same slope no zero s

fun_sym_same_guess_no_zero_s2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, p[1], p[3]))))
fit_sym_same_guess_no_zero_s2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_same_guess_no_zero_s2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess_no_zero_s2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess_no_zero_s2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Same guess no same slope no zero vs Same guess no same slope no zero s

sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_no_zero_s2 <- model_selection_lrt(
  fit_sym_same_guess2$logliks, 
  fit_sym_same_guess_no_zero_s2$logliks) 
sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_no_zero_s2 %>%
  semi_join(best_sym_same_guess_no_same_slope_no_zero) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

Sym same guess no same slope no zero d

fun_sym_same_guess_no_zero_d2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[4] + (1 - 2 * p[4]) * pnorm(x, -p[1], p[3]))))
fit_sym_same_guess_no_zero_d2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_same_guess_no_zero_d2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess_no_zero_d2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess_no_zero_d2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Same guess no same slope no zero vs Same guess no same slope no zero d

sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_no_zero_d2 <- model_selection_lrt(
  fit_sym_same_guess2$logliks, 
  fit_sym_same_guess_no_zero_d2$logliks) 
sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_no_zero_d2%>%
  semi_join(best_sym_same_guess_no_same_slope_no_zero) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_same_guess_no_same_slope_no_zero_s2 <- sym_same_guess_no_same_slope_no_zero_vs_same_guess_no_same_slope_no_zero_d2 %>% 
  semi_join(best_sym_same_guess_no_same_slope_no_zero) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) %>%  
  mutate(best = "sensory")

Joining, by = c("subject", "cond_per_block")

Sym same guess same slope zero

fun_sym_same_guess_same_slope_zero2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[2] + (1 - 2 * p[2]) * pnorm(x, 0, p[1]), 
    function(x, p) p[2] + (1 - 2 * p[2]) * pnorm(x, 0, p[1]))))
fit_sym_same_guess_same_slope_zero2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_same_guess_same_slope_zero2,
                xmin = -3, xmax = 3,
                parini = list(pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess_same_slope_zero2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess_same_slope_zero2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Same guess same slope no zero vs same guess same slope zero

sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_zero2 <- model_selection_lrt(
  fit_sym_same_guess_same_slope2$logliks, 
  fit_sym_same_guess_same_slope_zero2$logliks) 
sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_zero2 %>%
  semi_join(best_sym_no_absent_lapses_same_slope2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_same_guess_same_slope_no_zero2 <- sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_zero2 %>% 
  semi_join(best_sym_no_absent_lapses_same_slope2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) 

Joining, by = c("subject", "cond_per_block")

Sym same guess same slope no zero s

fun_sym_same_guess_same_slope_no_zero_s2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, p[1], p[2]))))
fit_sym_same_guess_same_slope_no_zero_s2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_same_guess_same_slope_no_zero_s2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess_same_slope_no_zero_s2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess_same_slope_no_zero_s2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Same guess same slope no zero vs same guess same slope no zero s

sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_no_zero_s2 <- model_selection_lrt(
  fit_sym_same_guess_same_slope2$logliks, 
  fit_sym_same_guess_same_slope_no_zero_s2$logliks) 
sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_no_zero_s2 %>%
  semi_join(best_sym_same_guess_same_slope_no_zero2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

Sym same guess same slope no zero d

fun_sym_same_guess_same_slope_no_zero_d2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, p[1], p[2]), 
    function(x, p) p[3] + (1 - 2 * p[3]) * pnorm(x, -p[1], p[2]))))
fit_sym_same_guess_same_slope_no_zero_d2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_same_guess_same_slope_no_zero_d2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, 
                              pini_lapse),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_same_guess_same_slope_no_zero_d2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_same_guess_same_slope_no_zero_d2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Same guess same slope no zero vs same guess same slope no zero d

sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_no_zero_d2 <- model_selection_lrt(
  fit_sym_same_guess_same_slope2$logliks, 
  fit_sym_same_guess_same_slope_no_zero_d2$logliks) 
sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_no_zero_d2 %>%
  semi_join(best_sym_same_guess_same_slope_no_zero2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_same_guess_same_slope_no_zero_full2 <- sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_no_zero_s2 %>% 
  semi_join(best_sym_same_guess_same_slope_no_zero2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "full")

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_same_guess_same_slope_no_zero_s2 <- sym_same_guess_same_slope_no_zero_vs_same_guess_same_slope_no_zero_s2 %>% 
  semi_join(best_sym_same_guess_same_slope_no_zero2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "sensory")

Joining, by = c("subject", "cond_per_block")

Absent lapses no same slope zero

fun_sym_absent_lapses_no_same_slope_zero2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, 0, p[1]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, 0, p[2]))))
fit_sym_absent_lapses_no_same_slope_zero2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses_no_same_slope_zero2,
                xmin = -3, xmax = 3,
                parini = list(pini_scale, pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses_no_same_slope_zero2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses_no_same_slope_zero2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses no same slope vs absent lapses no same slope zero

sym_absent_lapses_no_same_slope_vs_absent_lapses_no_same_slope_zero2 <- model_selection_lrt(
  fit_sym_absent_lapses2$logliks, 
  fit_sym_absent_lapses_no_same_slope_zero2$logliks) 
sym_absent_lapses_no_same_slope_vs_absent_lapses_no_same_slope_zero2 %>%
  semi_join(best_sym_absent_lapses_no_same_slope2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

Absent lapses no same slope no zero s

fun_sym_absent_lapses_no_same_slope_s2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1], p[2]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1], p[3]))))
fit_sym_absent_lapses_no_same_slope_s2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses_no_same_slope_s2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses_no_same_slope_s2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses_no_same_slope_s2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses no same slope no zero vs absent lapses no same slope no zero s

sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_s2 <- model_selection_lrt(
  fit_sym_absent_lapses2$logliks, 
  fit_sym_absent_lapses_no_same_slope_s2$logliks) 
sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_s2 %>%
  semi_join(best_sym_absent_lapses_no_same_slope2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_sym_absent_lapses_no_same_slope_no_zero_no_s2 <- sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_s2 %>% 
  semi_join(best_sym_absent_lapses_no_same_slope2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_absent_lapses_no_same_slope_no_zero_s2 <- sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_s2 %>% 
  semi_join(best_sym_absent_lapses_no_same_slope2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "sensory")

Joining, by = c("subject", "cond_per_block")

Absent lapses no same slope no zero d

fun_sym_absent_lapses_no_same_slope_d2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1], p[2]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, -p[1], p[3]))))
fit_sym_absent_lapses_no_same_slope_d2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses_no_same_slope_d2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale, pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses_no_same_slope_d2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses_no_same_slope_d2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses no same slope no zero vs absent lapses no same slope no zero d

sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_d2 <- model_selection_lrt(
  fit_sym_absent_lapses2$logliks, 
  fit_sym_absent_lapses_no_same_slope_d2$logliks) 
sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_d2 %>%
  semi_join(best_sym_absent_lapses_no_same_slope2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_absent_lapses_no_same_slope_no_zero_full2 <- sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_d2 %>% 
  semi_join(best_sym_absent_lapses_no_same_slope2) %>% 
  anti_join(best_sym_absent_lapses_no_same_slope_no_zero_s2, by = c("subject", "cond_per_block")) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "full")

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_sym_absent_lapses_no_same_slope_no_zero_d2 <- sym_absent_lapses_no_same_slope_no_zero_vs_absent_lapses_no_same_slope_no_zero_d2 %>% 
  semi_join(best_sym_absent_lapses_no_same_slope2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "decision")

Joining, by = c("subject", "cond_per_block")

Absent lapses same slope zero

fun_sym_absent_lapses_same_slope_zero2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, 0, p[1]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, 0, p[1]))))
fit_sym_absent_lapses_same_slope_zero2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses_same_slope_zero2,
                xmin = -3, xmax = 3,
                parini = list(pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses_same_slope_zero2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses_same_slope_zero2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses same slope no zero vs absent lapses same slope zero

sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_zero2 <- model_selection_lrt(
  fit_sym_absent_lapses_same_slope2$logliks, 
  fit_sym_absent_lapses_same_slope_zero2$logliks) 
sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_zero2 %>%
  semi_join(best_sym_absent_lapses_same_slope2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_absent_lapses_same_slope_no_zero2 <- sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_zero2 %>% 
  semi_join(best_sym_absent_lapses_same_slope2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block)

Joining, by = c("subject", "cond_per_block")

### Add to s vs d
best_absent_lapses_same_slope_zero2 <- sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_zero2 %>% 
  semi_join(best_sym_absent_lapses_same_slope2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) %>% 
  mutate(best = "zero")

Joining, by = c("subject", "cond_per_block")

Absent lapses same slope no zero s

fun_sym_absent_lapses_same_slope_no_zero_s2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1], p[2]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1], p[2]))))
fit_sym_absent_lapses_same_slope_no_zero_s2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses_same_slope_no_zero_s2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses_same_slope_no_zero_s2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses_same_slope_no_zero_s2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses same slope no zero vs absent lapses same slope no zero s

sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_no_zero_s2 <- model_selection_lrt(
  fit_sym_absent_lapses_same_slope2$logliks, 
  fit_sym_absent_lapses_same_slope_no_zero_s2$logliks) 
sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_no_zero_s2 %>%
  semi_join(best_absent_lapses_same_slope_no_zero2) %>% 
  group_by(best) %>% 
  count()

Joining, by = c("subject", "cond_per_block")

best_absent_lapses_same_slope_no_zero_no_s2 <- sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_no_zero_s2 %>% 
  semi_join(best_absent_lapses_same_slope_no_zero2) %>% 
  filter(best == "first") %>% 
  select(subject, cond_per_block) 

Joining, by = c("subject", "cond_per_block")

best_absent_lapses_same_slope_no_zero_s2 <- sym_absent_lapses_same_slope_no_zero_vs_absent_lapses_same_slope_no_zero_s2 %>% 
  semi_join(best_absent_lapses_same_slope_no_zero2) %>% 
  filter(best == "second") %>% 
  select(subject, cond_per_block) 

Joining, by = c("subject", "cond_per_block")

Absent lapses same slope no zero d

fun_sym_absent_lapses_same_slope_no_zero_d2 <-  dat2 %>% 
  distinct(references) %>% 
  bind_cols(tibble(fun = c(
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, p[1], p[2]), 
    function(x, p) 0.01 + (1 - 2 * 0.01) * pnorm(x, -p[1], p[2]))))
fit_sym_absent_lapses_same_slope_no_zero_d2 <- quickpsy(dat2, 
                               orientation, response, 
                grouping = .(subject, references, cond_per_block),
                fun = fun_sym_absent_lapses_same_slope_no_zero_d2,
                xmin = -3, xmax = 3,
                parini = list(pini_origin, pini_scale),
                bootstrap = "none")
ggplot() + facet_wrap(subject ~ cond_per_block, ncol = 6) +
  geom_point(data = fit_sym_absent_lapses_same_slope_no_zero_d2$averages, 
             aes(x = orientation, y = prob, color = references)) +
  geom_line(data = fit_sym_absent_lapses_same_slope_no_zero_d2$curves, 
            aes(x = x, y = y, color = references, lty = "all")) +
  theme_grey() + theme(legend.position = "top") 

Absent lapses same slope no zero vs absent lapses same slope no zero d

Add all best

best2 <- best_sym_no_two_guess_same_slope_zero2 %>% 
  bind_rows(best_sym_no_two_guess_same_slope_no_zero_full2) %>% 
  bind_rows(best_sym_guess_same_slope_no_zero_full2) %>% 
  bind_rows(best_sym_same_guess_no_same_slope_zero2) %>%  
  bind_rows(best_sym_same_guess_no_same_slope_no_zero_s2) %>%  
  bind_rows(best_sym_same_guess_same_slope_no_zero_full2) %>% 
  bind_rows(best_sym_same_guess_same_slope_no_zero_s2) %>% 
  bind_rows(best_sym_absent_lapses_no_same_slope_no_zero_s2) %>% 
  bind_rows(best_sym_absent_lapses_no_same_slope_no_zero_full2) %>% 
  bind_rows(best_sym_absent_lapses_no_same_slope_no_zero_d2) %>% 
  bind_rows(best_absent_lapses_same_slope_zero2) %>% 
  bind_rows(best_absent_lapses_same_slope_no_zero_no_s2) %>% 
  bind_rows(best_absent_lapses_same_slope_no_zero_s2) 
sym_averages_s_vs_d_best2 <-  sym_averages_s_vs_d2 %>%
  left_join(best2) 

Joining, by = c("subject", "cond_per_block")

  
sym_curves_s_vs_d_best2 <- sym_curves_s_vs_d2 %>% 
  left_join(best2)

Joining, by = c("subject", "cond_per_block")

sym_par_s_vs_d_best2 <- sym_par_s_vs_d2 %>% 
  left_join(best2) 

Joining, by = c("subject", "cond_per_block")

sym_par_s_vs_d_best_long2 <- sym_par_s_vs_d_best2 %>% 
  select(subject, cond_per_block, par, best, parn) %>% 
  spread(parn, par) 
sym_par_s_vs_d_best_abs2 <- sym_par_s_vs_d_best2 %>% 
              filter(parn == "p1" | parn == "p2") %>% 
              mutate(parn = if_else(parn == "p1", 
                             "Sensory\nbias", "Decisional\nbias"),
                     abs_par = abs(par))

Save data